Practical Approximation of Single-Qubit Unitaries by Single-Qubit Quantum Clifford and T Circuits

@article{Kliuchnikov2016PracticalAO,
  title={Practical Approximation of Single-Qubit Unitaries by Single-Qubit Quantum Clifford and T Circuits},
  author={Vadym Kliuchnikov and Dmitri Maslov and Michele Mosca},
  journal={IEEE Transactions on Computers},
  year={2016},
  volume={65},
  pages={161-172}
}
We present an algorithm, along with its implementation that finds T-optimal approximations of single-qubit Z-rotations using quantum circuits consisting of Clifford and T gates. Our algorithm is capable of handling errors in approximation down to size 10-15, resulting in the optimal single-qubit circuit designs required for implementation of scalable quantum algorithms. Our implementation along with the experimental results are available in the public domain. 
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PARI/GP, a computer algebra system

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